Author:
Bibi Mairaj,Edjvet Martin
Abstract
AbstractPrishchepov [16] proved that all equations of length at most six over torsion-free groups are solvable. A different proof was given by Ivanov and Klyachko in [12]. This supports the conjecture stated by Levin [15] that any equation over a torsion-free group is solvable. Here it is shown that all equations of length seven over torsion-free groups are solvable.
Subject
Algebra and Number Theory
Reference34 articles.
1. One-relator products of torsion-free groups;Glasg. Math. J.,1993
2. The solution of length three equations over groups;Proc. Edinburgh Math. Soc. (2),1983
3. On small length equations over torsion-free groups;Internat. J. Algebra Comput.,1994
4. Klyachko’s methods and the solution of equations over torsion-free groups;Enseign. Math. (2),1996
5. The group 〈G,t|e〉\langle G,t|e\rangle when G is torsion free;J. Algebra,2001
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献